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312233101131 = 3737419801083
BaseRepresentation
bin1001000101100101000…
…10110000011101001011
31002211221001122221201210
410202302202300131023
520103423133214011
6355234330544203
731362266366250
oct4426242603513
91084831587653
10312233101131
1111046549a236
125061a298063
132359c36a0a3
141117dabb427
1581c66266a6
hex48b28b074b

312233101131 has 32 divisors (see below), whose sum is σ = 500560962048. Its totient is φ = 169362696960.

The previous prime is 312233101127. The next prime is 312233101139. The reversal of 312233101131 is 131101332213.

It is a happy number.

It is not a de Polignac number, because 312233101131 - 22 = 312233101127 is a prime.

It is a super-2 number, since 2×3122331011312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312233101098 and 312233101107.

It is not an unprimeable number, because it can be changed into a prime (312233101139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4868685 + ... + 4932398.

It is an arithmetic number, because the mean of its divisors is an integer number (15642530064).

Almost surely, 2312233101131 is an apocalyptic number.

312233101131 is a deficient number, since it is larger than the sum of its proper divisors (188327860917).

312233101131 is a wasteful number, since it uses less digits than its factorization.

312233101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801171.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312233101131 its reverse (131101332213), we get a palindrome (443334433344).

The spelling of 312233101131 in words is "three hundred twelve billion, two hundred thirty-three million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 37 41 111 123 259 287 777 861 1517 4551 10619 31857 9801083 29403249 68607581 205822743 362640071 401844403 1087920213 1205533209 2538480497 2812910821 7615441491 8438732463 14868242911 44604728733 104077700377 312233101131